An analytic and application to state space reconstruction about chaotic time series

The state space, reconstruction is the major important quantitative index f or describing non-linear chaotic time series. Based on the work of many sch olars, such as: AT. H. Packard, F. Takens, M. Casdagli, J. F. Gibson, CHEN Yu-shu et al, the state space was reconstructed using the method of Legendr e coordinate. Several different scaling regimes for lag time tau were ident ified. The influence for state space reconstruction of lag time tau was dis cussed. The result tells us that is a good practical method for state space reconstruction.